Design and Analysis of Experiments (ISS (Statistical Services) Statistics Paper IV): Questions 9  13 of 36
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 79 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
Question number: 9
» Design and Analysis of Experiments » Analysis of Covariance
Appeared in Year: 2010
Describe in Detail
Discuss the procedure for carrying out the analysis and testing procedure by means of ANOVA table for twoway classification.
Explanation
Twoway ANOVA technique is used when there are two factors, which may affect the variate values. For example, the agricultural output may be affected by difference in treatments on the basis of seeds and also on the different fertilizers used.
Let there be two factors A and B which affect the variate value. Let X_{ijk} (i = 1,2, . . p; j = 1,2, …, q
… (283 more words) …
Question number: 10
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2010
Describe in Detail
Treatments N, P, K and S are administered in 4 blocks through 4 columns. The layout of design is as shown below:
Columns
N  P  K  S 
P  K  S  N 
K  S  N  P* 
S  N  P  K 
Blocks
Identify the above design. If the observation (*) in third row and fourth column is missing, how would you estimate the missing yield?
Explanation
This is a 4 x 4 Latin square design with one missing observation.
Estimation of the missing yield:
The observation in the (i^{th}) 3^{rd} row, (j^{th}) 4^{th} column is missing.
i. e.
m = number of rows or columns in the design (here 4 x 4. hence m = 4)
R = Sum of the known observations in the 3^{rd} row, i. e. the row containing P
C = Sum o
… (119 more words) …
Question number: 11
» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design
Appeared in Year: 2013
Describe in Detail
Identify the design given below, whose blocks are:
(1,2, 3,4); (2,3, 4,1) and (4,1, 2,3).
Write its parameters. Suppose a treatment ‘3’ belonging to 3^{rd} row and 4^{th} column is missing. How can you estimate that missing treatment? Estimate that value. Write degrees of freedom for error and total variation.
Explanation
This is the Randomized block design. (RBD)
Its parameters are t = treatments 4 and Blocks r = blocks = 3
Here i = 1,2, 3,4 and j = 1,2, 3
The method of estimating the missing value:
let us consider the missing value as belonging to 3^{rd} row and 4^{th} column
Treatment  
Blocks  1  2  3  4  Total 
1 





2 





3 





Total 





… (156 more words) …
Question number: 12
» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design
Appeared in Year: 2009
Describe in Detail
Explain the uniformity trials. Discuss their role in picking up a proper design.
Explanation
Uniformity trials helps to give idea about the fertility variation of the field.
A trial in which the field (experimental material) is divided into small units (plots) and the same treatment is applied on each of the units and their fields are recorded. From these yields, ‘fertility counter map’ is made for graphic picture of the variation of the
… (258 more words) …
Question number: 13
» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design
Appeared in Year: 2011
Describe in Detail
Discuss missing plot techniques in a RBD. Suppose one observation, say, is missing in one block of a RBD, derive a method to estimate that missing value.
Explanation
Missing plot techniques in a RBD:
Sometimes observations from one or more experimental units will be missing due to some unavoidable causes. There might be many unforeseen causes, for example, in agricultural experiments damages by pets or in animal experiment any animal may die or the observations from one or more plot is excessively large as co
… (132 more words) …